IMO - Mock Test

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IMO - Mock Test - 1

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Weekly Quiz Competition

Question 1
1.15 / -0

What will come in place of the question mark (?) in the given series?

A
72

B
90

C
92

D
105

Solution

Series starts from 12, which is multiplied by 2 giving 24 as the result.
Then 24 x 3 = 72, which is the missing number.
72 x 4 = 288.
So, 72 is the missing number.
Question 2
1.15 / -0

Directions: In the following question, five figures of different shapes are given. Four of them are similar in some way, but one of them does not match the other four.

Which figure does not belong to the group?

A
(a)

B
(b)

C
(c)

D
(d)

Solution

All the figures have two lines, which divide the given figure into 4 equal parts, except figure (3).
Question 3
1.15 / -0

Find out how many triangles are there in the above figure.

A
5

B
4

C
3

D
1

Solution

There are 5 triangles in total.
Question 4
1.15 / -0

If in a coding language, SMARTER is written as RETRASM, How will you write PLAYING?

A
YINGPLA

B
GNIYALP

C
GNIYAPL

D
APLYNG

Solution

SMARTER is written as RETRASM. Here, all the letters are reversed except the first two and the reversed letters are put before the first two letters. Similarly PLAYING will be written as GNIYAPL.
Question 5
1.15 / -0

What is the next number in the given series?

5, 6, 8, 11, 15, 20, 26, ...

A
33

B
32

C
31

D
30

Solution

The series follows the following pattern:
5 + 1 = 6
6 + 2 = 8
8 + 3 = 11
11 + 4 = 15
15 + 5 = 20
20 + 6 = 26
26 + 7 = 33
So, the next number in the series is 33.
Question 6
1.15 / -0

Rohit, starting from his house, goes 5 km in the east direction. Then, he turns to his left and goes 4 km. Finally, he turns to his left and goes 5 km. In which direction is he standing from his home?

A
North

B
East

C
South

D
West

Solution

Rohit is standing north to his home.
Question 7
1.15 / -0

Find out the alternative figure which contains the given figure as its part.

A

B

C

D

Solution

Option 4 is the correct answer.
Question 8
1.15 / -0

In a row of students, Rahul is fifth from either end of the row. How many students are there in the row?

A
9

B
10

C
11

D
12

Solution

As, Rahul is standing at fifth position from either end, therefore, the sequence will be as follows:

1, 2, 3, 4, Rahul, 4, 3, 2, 1

Hence, total number of students = 9
Question 9
1.15 / -0

Directions: Complete the following series.

E, G, J, L, O, Q, ?

A
S

B
R

C
T

D
V

Solution

The series follows the pattern + 2, + 3, + 2, + 3 and so on.
E (5) + 2 = G (7)
G (7) + 3 = J (10)
J (10) + 2 = L (12)
L (12) + 3 = O (15)
O (15) + 2 = Q (17)
Q (17) + 3 = T (20)
So, T is the correct answer.
Question 10
1.15 / -0

Directions: In the problem below is given a figure marked 'X', followed by four figures (a), (b), (c) and (d) which show the possible water images of figure 'X'. Choose one out of these four figures that shows the correct water image of figure 'X'.

A
a

B
b

C
c

D
d

Solution

The correct water image of figure 'X' is figure 'a'.
Question 11
1.15 / -0

Which digit shows the hundredths place in 957.147?

A
1

B
4

C
7

D
9

Solution

The number in the hundredths place is 4.
Question 12
1.15 / -0

If the value of x = 3 and the value of y = 4, then find the value of 4x + 6y.

A
9

B
18

C
36

D
40

Solution

Value of x is 3.
So, 4x = 12
Value of y is 4
So, 6y = 24
Hence, 4x + 6y = 12 + 24 = 36
Question 13
1.15 / -0

If

Then,

A
14

B
16

C
20

D
35

Solution

As,
So, _Now,
So,
Hence,
AndSo,
Hence, = 14
Question 14
1.15 / -0

If today is 26^th and it is Sunday of November, then what will be the date on coming Friday?

A
27^th November

B
30^thNovember

C
1^st December

D
1^st November

Solution

26^thNovember – Sunday
27^th November – Monday
28^th November – Tuesday
29^th November – Wednesday
30^th November – Thursday
1^st December – Friday
Question 15
1.15 / -0

Which of the options given below is the largest fraction?

A

B

C

D

Solution

As numerators of all of the denominators are same, so the fraction with the lowest denominator will be the largest.

Hence, is the required fraction.
Question 16
1.15 / -0

A blackboard is rectangular in shape. Its length is 14 cm and its breadth is 8 cm. What is the perimeter of the black board?

A
22 cm

B
32 cm

C
42 cm

D
44 cm

Solution

Perimeter of a rectangle = 2 (l + b)
So, Perimeter = 2 (14 + 8) = 44 cm
Question 17
1.15 / -0

Find the value of B in the given figure, if A is 2 more than C.

A
7

B
6

C
5

D
4

Solution

56 can be written as:

1 × 56
2 × 28
4 × 14
7 × 8

42 can be written as:
1 × 42
2 × 21
3 × 14
6 × 7

From the question, it is clear that one factor is the same. So, the possible factors are:
1 × 56 and 1 × 42, or 2 × 28 and 2 × 21, or 7 × 8 and 6 × 7
As, B is common to both the numbers, So, from here B can be 1, 2, or 7.
If B = 1, then A = 56 and C = 42. It is rejected as here A is not 2 more than C.
If B = 2, then A = 28 and C = 21. It is rejected as here A is not 2 more than C.
If B = 7, then A = 8 and C = 6. It is accepted.
Hence, A = 8, B = 7, C = 6.
Question 18
1.15 / -0

There is a square park having sides of 6 cm. Find the area of the park.

A
24 cm

B
24 cm²

C
36 cm

D
36 cm²

Solution

Area of the square = Side x Side = 6 cm x 6 cm = 36 cm²
Question 19
1.15 / -0

What fraction represents one section of the shape?

A

B

C

D

Solution

Total number of sections = 5

Each section is considered as one part.

So, required fraction =
Question 20
1.15 / -0

Rohan has forty-five thousand three hundred seven rupees. How much money does he have in numeric value?

A
Rs. 4,50,307

B
Rs. 4,53,007

C
Rs. 45,307

D
Rs. 45,370

Solution

Forty-five thousand three hundred seven is written in numeric form as: Rs. 45,000 + Rs. 300 + Rs. 7 = Rs. 45,307
Question 21
1.15 / -0

Given below is the combined weight of 2 apples and 1 pineapple. What would be the combined weight of 4 apples and 2 pineapples (in grams)?

A
1500 g

B
1600 g

C
1550 g

D
1400 g

Solution

Weight of 2 apples and 1 pineapple = 750 g

So, the weight of 4 apples and 2 pineapples = 750 g + 750 g = 1500 g
Question 22
1.15 / -0

There are 15 chocolate balls in a packet. Mohan uses 20 packets to distribute among his friends. He distributes a total of 100 chocolate balls. How many chocolates balls are left?

A
200

B
180

C
150

D
140

Solution

Total number of chocolate balls = 15 x 20 = 300
Number of chocolates balls distributed = 100
Number of chocolates balls left = 300 - 100 = 200
Question 23
1.15 / -0

A jug contains 5 litres of juice. If 1500 ml of juice is poured out of the jug, then how many litres of juice is left?

A
3.5

B
4.5

C
1400

D
1495

Solution

Jug contains 5 litres or 5000 ml (1L = 1000 ml) of juice.
Juice left after pouring out 1500 ml = 5000 – 1500 = 3500 ml or 3.5 L.
Question 24
1.15 / -0

John had 1053 pens. His friend gave him 510 more. His father gave him another 25. How many pens does John have now?

A
8653

B
8628

C
1563

D
1588

Solution

Number of pens John had = 1053
Number of pens his friend gave = 510
Number of pens his father gave = 25
Total number of pens John has now = 1053 + 510 + 25 = 1588
Question 25
1.15 / -0

A book shelf can have as many books as shown in the given figure. How many books can 5 such shelves have?

A
17

B
25

C
60

D
80

Solution

Number of books on 1 shelf = 12
Number of books on 5 such shelves = 12 × 5 = 60
Question 26
1.15 / -0

Mellica is making a rope with her shoe laces. Length of each shoe lace is 20 cm. How many laces would she need to make a 19 m-long rope?

A
82

B
86

C
93

D
95

Solution

Length of one shoe lace = 20 cm = 0.2 m
Length of the rope = 19 m
Number of laces needed = 19/0.2= 95 laces
Question 27
1.15 / -0

Out of 12 chocolates on a table, one-quarter are Dairy Milk. How many Dairy Milk chocolates are there on the table?

A
3

B
4

C
5

D
6

Solution

Total number of chocolates = 12
Number of Dairy Milk chocolates = 12 ÷ 4 = 3^{Hence, there are 3 Dairy Milk chocolates on the table.}
Question 28
1.15 / -0

Anuj has Rs. 560 with him. Which of the following items he CANNOT buy?

A

B

C

D

Solution

Option 1: Total cost = Rs. 325 + Rs. 220 = Rs. 545
Option 2: Total cost = Rs. 325 + Rs. 220 + Rs. 35 = Rs. 580
Option 3: Total cost = Rs. 35 + Rs. 105 + Rs. 105 = Rs. 245
Option 4: Total cost = Rs. 105 + Rs. 105 + Rs. 220 + Rs. 105 = Rs. 535
Clearly, he cannot buy items mentioned in option 2 as the price of items is more than the amount he is carrying.
Question 29
1.15 / -0

There are 20 rows of seats in a classroom. Each row has 28 seats. How many seats are there in total?

A
48

B
58

C
560

D
640

Solution

Number of seats in one row = 28
Number of rows = 20
Total number of seats = 20 × 28

= 560
Question 30
1.15 / -0

A milkman poured 1850 ml of milk into a vessel. Find the quantity of milk in the vessel (in litres).

A
1.85 litres

B
18.5 litres

C
185 litres

D
1850000 litres

Solution

Total quantity = 1850 ml
As, 1 litre = 1000 ml

So, = 1.85 litres of milk.
Question 31
1.15 / -0

Max bought 20 baskets of apples. A sample basket is shown below. How many apples would be left with Max after distributing apples equally among 12 people?

A
0

B
4

C
10

D
12

Solution

Number of apples in 1 basket = 5
Total number of apples: 5 × 20 = 100
Number of apples when divided among 12 people:

Number of apples left with him = 4
Question 32
1.15 / -0

There are XLI classes in an institute. Each class has X students and each student has V chocolates with him. How many total chocolates are there in all XLI classes?

A
XXXL

B
DDL

C
MML

D
DCV

Solution

X = 10, V = 5, L = 50, I = 1
Number of chocolates each student has V = 5
Number of students in each class X = 10
Number of chocolates in each class = 10 × 5 = 50 = L
Number of classes in the institute = 41
Total number of chocolates = 41 × 50 = 2050
Writing 2050 in Roman Numerals is MML

Question 33

1.15 / -0

Years	Scores
2012	1445
2013	1550
2014	1300

Look at the given data chart. It shows the runs scored by Mike in 3 different years. What is the total number of runs scored by Jass in these 3 years if he scored three times as many runs as Mike did?

4295

4298

12885

12888

Solution

Total number of runs scored by Mike in 3 years = 1445 + 1550 + 1330 = 4295
So, total runs scored by Jass = 3 × 4295 = 12,885

Question 34
1.15 / -0

The given table shows the number of fruits available at a shop on a particular day. ____________ of the fruits are apples.

A
7/36

B
7/38

C
5/36

D
5/38

Solution

Number of apples = 7
Total number of all fruits = 38
So, required answer = 7/38
Question 35
1.15 / -0

What is the value of A + D - C × B?

A
3

B
5

C
9

D
15

Solution

The value of A = 9, B = 3, C = 4 and D = 8.
So, A + D - C × B = 9 + 8 - 4 × 3
17 - 12 = 5.

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Re-Attempt Weekly Quiz Competition

IMO - Mock Test - 1

Result

IMO - Mock Test - 1

Score

-

Rank

-

SHARING IS CARING

Question 1

72

90

92

105

Solution

Question 2

(a)

(b)

(c)

(d)

Solution

Question 3

5

4

3

1

Solution

Question 4

YINGPLA

GNIYALP

GNIYAPL

APLYNG

Solution

Question 5

33

32

31

30

Solution

Question 6

North

East

South

West

Solution

Question 7

Solution

Question 8

9

10

11

12

Solution

Question 9

S

R

T

V

Solution

Question 10

a

b

c

d

Solution

Question 11

1

4

7

9

Solution

Question 12

9

18

36

40

Solution

Question 13

14

16

20

27^th November

30^thNovember

1^st December

1^st November

24 cm²

36 cm²